The cars travel at a 21MPH difference, so if we divide 460 by 21, we get 21.9
Answer: 21.9 hours
<h3>Answer:</h3>
x/tan(x) is an even function
sec(x)/x is an odd function
<h3>Explanation:</h3>
<em>x/tan(x)</em>
For f(x) = x/tan(x), consider f(-x).
... f(-x) = -x/tan(-x)
Now, we know that tan(x) is an odd function, so tan(-x) = -tan(x). Using this, we have ...
... f(-x) = -x/(-tan(x)) = x/tan(x) = f(x)
The relation f(-x) = f(x) is characteristic of an even function, one that is symmetrical about the y-axis.
_____
<em>sec(x)/x</em>
For g(x) = sec(x)/x, consider g(-x).
... g(-x) = sec(-x)/(-x)
Now, we know that sec(x) is an even function, so sec(-x) = sec(x). Using this, we have ...
... g(-x) = sec(x)/(-x) = -sec(x)/x = -g(x)
The relation g(-x) = -g(x) is characeristic of an odd function, one that is symmetrical about the origin.
Answer:
1. 38 degrees
2. 38 degrees
Step-by-step explanation:
It tells you that angle 1 is 38 degrees, and they are supplementary angles, which means angle 2 is also 38 degrees.
Hope this helps :)
Let me know if there is anything to fix!!
611.08
Be sure to treat the two shapes as completely different figures, then add their totals together
Answer:
Step-by-step explanation:
Explanation:
First, find two points on the line if you change the inequality to an equation.
For
x
=
0
:
0
+
2
y
=
4
2
y
=
4
2
y
2
=
4
2
y
=
2
or
(
0
,
2
)
For
y
=
0
:
x
+
0
=
4
x
=
4
or
(
4
,
0
)
We can plot these two points and draw a line through them to get the border of the inequality:
graph{(x^2+(y-2)^2-0.075)((x-4)^2+y^2-0.075)(x+2y-4)=0}
The line will be solid because the inequality operator has a "or equal to" clause in it. We can now shade the area to the right of the line because the inequality has a "great than" clause in it.
graph{(x+2y-4)>=0}